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Finding the Fourth Proportional to 470.64, 705.96 and 178.13

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Solution

The fourth proportional to 470.64, 705.96 and 178.13 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 705.96 = 178.13 : x
  2. Step 2: Convert to fraction form
    470.64/705.96 = 178.13/x
  3. Step 3: Cross multiply
    470.64x = 705.96 × 178.13
  4. Step 4: Simplify right side
    470.64x = 125,752.65
  5. Step 5: Solve for x
    x = 125,752.65/470.64
  6. Step 6: Final answer
    x = 267.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.